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Finding the Fourth Proportional to 9,625.29, 14,437.90 and 3,777.81

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Solution

The fourth proportional to 9,625.29, 14,437.90 and 3,777.81 is: 5,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.29 : 14,437.90 = 3,777.81 : x
  2. Step 2: Convert to fraction form
    9,625.29/14,437.90 = 3,777.81/x
  3. Step 3: Cross multiply
    9,625.29x = 14,437.90 × 3,777.81
  4. Step 4: Simplify right side
    9,625.29x = 54,543,643.00
  5. Step 5: Solve for x
    x = 54,543,643.00/9,625.29
  6. Step 6: Final answer
    x = 5,666.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.